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. 2021 Nov 10;21(6):926–943. doi: 10.1007/s12311-021-01325-9

Table 1.

Comparison on some main points of the principle learning models with each other and with the present model. Important note: this is not a comprehensive list but focussed on points most relevant to the present scope

Marr New model Albus/perceptron Fujita/adaptive filter
cf signal in teaching role Yes Yes Yes Yes
Sign of cf-trained pf-PC change LTP LTD LTD LTD
Binary or graded synaptic modification ‘Totally modified or totally unmodified’ Binary effect on collective transmission Graduated Graduated
Function of learning Transmission of learned patterns Transmission of learned patterns Learned ability to group input patterns into predefined classes Selectively weighted transmission of pf signals to give a ‘desired response’
Response depends on pattern No No Yes Yes
Functionally variable cf signature No No Yes Yes, contained in a time-varying discharge rate
Heterogeneous lessons No No Yes Analog signal
Unit of learning and memory PC Microzone PC PC
cf-trained learning at pf-MLI synapse No LTP Yes, in different directions on outer and deeper level cells Yes
Learning algorithm No No Yes Yes—assumed criterion of system performance is the mean square error
Physiological derivation of synaptic learning function No function Yes No No
Output of the model Single PC firing rate*

Functionally indivisible

(i) learning and (ii) behaviour of the circuit

Single PC firing rate** Single PC firing rate
What codes PC firing? pf rates: data packaged in single signals, as ‘codons’ pf rates: data indivisibly coded in all input pf synaptic weights pf synaptic weights
Plastic outcome coupled to training variables? No proposed physiological or computational mechanism that sets weights No Yes Yes
PC-nuclear anatomical contact ‘rules’ Outside cortex-only scope Functional and integrated Not included Not included
Nucleo-olivary feedback Outside cortex-only scope Functional and integrated Not included Not included
Function of unknown patterns None Self-inhibition by the circuit of its own output No unknown patterns None: an effect of noise is eliminated by training
What limits pattern memory capacity? Inhibition must block a response to random patterns Conceivably no limit Ultimately, overlap causes classification errors Pattern memory is not the function of learning
Majority pf-PC synaptic ‘silence’ Supports predicted synaptic modification Supports predicted synaptic modification At best, not supporting evidence At best, not supporting evidence
Recorded firing linearly codes behavioural parameters Consistent with binary weights Consistent with polarised weights Problematic Problematic

*Marr assumes ‘that the central nervous system has a means of converting a signal in a Purkinje cell axon into’ a motor command [77 p.455]

**Albus briefly moots that heterogeneously trained PCs may code a motor sequence, but this does not form part of the model. The short section on firing of nuclear cells really only states in the form of mathematical symbols what inputs nuclear cells receive